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This study presents a comprehensive assessment of the Italian risk model used during the COVID-19 pandemic to guide regional mobility restrictions through a colour-coded classification system. The research focuses on evaluating the…

Applications · Statistics 2025-07-04 Giuseppe Drago , Giulia Marcon , Alberto Lombardo , Giuseppe Aiello

The unprecedented global crisis brought about by the COVID-19 pandemic has sparked numerous efforts to create predictive models for the detection and prognostication of SARS-CoV-2 infections with the goal of helping health systems allocate…

Large-scale longitudinal molecular profiling is now firmly established in biomedical research, prompted by the need to uncover coordinated biomarker trajectories reflecting the dynamics of underlying biological mechanisms and characterise…

Methodology · Statistics 2026-03-24 Salima Jaoua , Daniel Temko , Hélène Ruffieux

Compartmental models like the Susceptible-Infected-Recovered (SIR)\cite{Kermack1927} and its extensions such as the Susceptible-Exposed-Infected-Recovered (SEIRS)\cite{Ottar2020,Ignazio2021,Grimm2021,Paoluzzi2021} are commonly used to model…

Populations and Evolution · Quantitative Biology 2025-07-14 Kasturi Banerjee , Subhankar Ray , Jayalakshmi Shamanna

In this review, we successively present the methods for phenomenological modeling of the evolution of reported and unreported cases of COVID-19, both in the exponential phase of growth and then in a complete epidemic wave. After the case of…

Analysis of PDEs · Mathematics 2023-10-02 J. Demongeot , P. Magal

In this work, we contribute the first visual open-source empirical study on human behaviour during the COVID-19 pandemic, in order to investigate how compliant a general population is to mask-wearing-related public-health policy.…

General Economics · Economics 2023-11-23 Yuxi Heluo , Kexin Wang , Charles W. Robson

The COVID-19 crisis has shown that we can only prevent the risk of mass contagion through timely, large-scale, coordinated, and decisive actions. However, frequently the models used by experts [from whom decision-makers get their main…

Applications · Statistics 2021-03-08 Mauricio Herrera

The COVID-19 pandemic has emphasized the need for a robust understanding of epidemic models. Current models of epidemics are classified as either mechanistic or non-mechanistic: mechanistic models make explicit assumptions on the dynamics…

Machine Learning · Statistics 2022-01-14 Arnab Sarker , Ali Jadbabaie , Devavrat Shah

The paper presents classification and analysis of the mathematical models of COVID-19 spread in different groups of populations such as the family, school, office (3-100 people), neighborhood (100-5000 people), city, region (0.5-15 million…

Populations and Evolution · Quantitative Biology 2022-02-01 O. I. Krivorotko , S. I. Kabanikhin

Understanding dynamics of an outbreak like that of COVID-19 is important in designing effective control measures. This study aims to develop an agent based model that compares changes in infection progression by manipulating different…

Populations and Evolution · Quantitative Biology 2021-06-24 Anik Burman , Sayak Chatterjee , Pramit Ghosh , Indranil Mukhokadhyay

The need to forecast COVID-19 related variables continues to be pressing as the epidemic unfolds. Different efforts have been made, with compartmental models in epidemiology and statistical models such as AutoRegressive Integrated Moving…

Applications · Statistics 2020-10-07 Bahman Rostami-Tabar , Juan F. Rendon-Sanchez

A nonlinear partial differential equation (PDE) based compartmental model of COVID-19 provides a continuous trace of infection over space and time. Finer resolutions in the spatial discretization, the inclusion of additional model…

Computational Engineering, Finance, and Science · Computer Science 2022-08-04 Sudhi P. V. , Victorita Dolean , Pierre Jolivet , Brandon Robinson , Jodi D. Edwards , Tetyana Kendzerska , Abhijit Sarkar

The primary goal of this research is to investigate the impact of delay on the dynamics of the Susceptible-Exposed-Infected-Recovered-Death and Susceptible (SEIRDS) model, to which we add a stochastic term to account for uncertainty in…

Populations and Evolution · Quantitative Biology 2022-08-17 Mohamed Ben Alaya , Walid Ben Aribi , Slimane Ben Miled

The effective control of infectious diseases relies on accurate assessment of the impact of interventions, which is often hindered by the complex dynamics of the spread of disease. A Beta-Dirichlet switching state-space transmission model…

Methodology · Statistics 2024-04-30 Jingxue Feng , Liangliang Wang

COVID-19 pandemic has had a disruptive and irreversible impact globally, yet traditional epidemiological modeling approaches such as the susceptible-infected-recovered (SIR) model have exhibited limited effectiveness in forecasting of the…

Quantitative Methods · Quantitative Biology 2022-10-13 Jinhuan Ke , Jiahao Ma , Xiyu Yin , Robin Singh

We consider a global (location independent) model of pandemic growth which generalizes the SIR model to accommodate important features of the COVID-19 pandemic, notably the implementation of pandemic reduction measures. This "SHIR" model is…

Populations and Evolution · Quantitative Biology 2020-07-30 T. Barnes

Although there is substantial literature on identifying structural changes for continuous spatio-temporal processes, the same is not true for categorical spatio-temporal data. This work bridges that gap and proposes a novel spatio-temporal…

Methodology · Statistics 2023-05-04 Siddharth Rawat , Abe Durrant , Adam Simpson , Grant Nielson , Candace Berrett , Soudeep Deb

With COVID-19 affecting every country globally and changing everyday life, the ability to forecast the spread of the disease is more important than any previous epidemic. The conventional methods of disease-spread modeling, compartmental…

Machine Learning · Statistics 2022-08-19 Benjamin Lucas , Behzad Vahedi , Morteza Karimzadeh

The visual modeling method enables flexible interactions with rich graphical depictions of data and supports the exploration of the complexities of epidemiological analysis. However, most epidemiology visualizations do not support the…

Applications · Statistics 2023-04-25 Yu Dong , Christy Jie Liang , Yi Chen , Jie Hua

The rapid finding of effective therapeutics requires the efficient use of available resources in clinical trials. The use of covariate adjustment can yield statistical estimates with improved precision, resulting in a reduction in the…

Methodology · Statistics 2021-09-10 Nicholas Williams , Michael Rosenblum , Iván Díaz